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Finding the Fourth Proportional to 761.97, 1,142.97 and 214.17

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Solution

The fourth proportional to 761.97, 1,142.97 and 214.17 is: 321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.97 : 1,142.97 = 214.17 : x
  2. Step 2: Convert to fraction form
    761.97/1,142.97 = 214.17/x
  3. Step 3: Cross multiply
    761.97x = 1,142.97 × 214.17
  4. Step 4: Simplify right side
    761.97x = 244,784.80
  5. Step 5: Solve for x
    x = 244,784.80/761.97
  6. Step 6: Final answer
    x = 321.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.